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Finding the Third Proportional to 1,022,044 and 2,150,024

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Solution

The third proportional to 1,022,044 and 2,150,024 is: 4,522,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,044 : 2,150,024 = 2,150,024 : x
  2. Step 2: Convert to fraction form
    1,022,044/2,150,024 = 2,150,024/x
  3. Step 3: Cross multiply
    1,022,044x = 2,150,024 × 2,150,024
  4. Step 4: Simplify right side
    1,022,044x = 4,622,603,200,576
  5. Step 5: Solve for x
    x = 4,622,603,200,576/1,022,044
  6. Step 6: Final answer
    x = 4,522,900.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.